Two lines parallel to a third line are parallel.

Short Answer

Expert verified

The blank should be filled with always.

Step by step solution

01

Step 1. Determine the theorem or postulate that can be used

The theorem 3-10 can be used which states that if two lines which are having parallel relation between them are parallel to another line apart from those two lines then each line will have a parallel relation

02

Step 2. Relate the theorem with provided statement

The provided statement completely matches with the theorem so the provided statement is always true.

03

Step 3. Make the conclusion

The word suitable for the blank is always.

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